Adaptive equalization techniques designed to improve bit error rates (BERs) degraded by multipath propagation in mobile communication systems are addressed. Two kinds of equalizers are used in a simulation: the adaptive lattice decision feedback equalizer (L-DFE) and maximum-likelihood sequence estimation (MLSE). RLS (recursive-least-squares) algorithms are used to update the equalizers. The choices are based on the fact that a DFE has little noise enhancement and a RLS algorithm converges fast and has good tracking capability. The sensitivities of these equalizers to receiver velocity and signal-to-noise ratio are tested for a two-ray multipath channel where the ratio of powers of the rays can vary. Results show that these two kinds of equalizers have similar performances.